Structure of a Viscoplastic Flow During the Mold-Filling Process

Abstract

The flow of a viscoplastic fluid during the filling of a flat vertical channel was studied. The mathematical problem was formulated based on the complete equations of motion and natural boundary conditions on a free surface; the problem was solved by the finite-difference method. For shock-capturing, the Schwedoff–Bingham rheological equation was regularized. A parametric study of the flow characteristics and behavior of the free boundary was performed depending on the main parameters of the problem. The characteristic flow structures were demonstrated depending on the ratio of viscous, gravitational, and plastic forces in the flow.